the surface area of a sphere is 7.84π fr.^2 what is the radius of this sphere

The formula for the surface area of a sphere is given by:

Surface Area = 4πr^2

where r is the radius.

From the given information:
Surface Area = 7.84π fr.^2

Equating the two formulas:

4πr^2 = 7.84π

Dividing both sides by 4π:

r^2 = 7.84/4

r^2 = 1.96

Taking the square root of both sides:

r = √1.96

r ≈ 1.4

Therefore, the radius of the sphere is approximately 1.4.